Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Radial System Protection01:23

Radial System Protection

Radial systems employ time-delay overcurrent relays to reduce load interruptions. When a fault occurs, the nearest breaker opens first, while upstream breakers remain closed due to longer delay settings. This approach ensures minimal disruption to the rest of the system.
In a radial system with a fault downstream of the third breaker, ideally, only the third breaker will open, isolating the fault and interrupting the load connected beyond it. The second breaker has a longer delay setting,...
Lagrange Multipliers: Two Constraints01:28

Lagrange Multipliers: Two Constraints

The method of Lagrange multipliers with two constraints is used to optimize a function subject to two independent constraints. In many applications, the objective function represents a quantity to be maximized or minimized, such as cost, area, distance, or energy. The two constraints represent requirements that the solution must satisfy, such as fixed volume, limited resources, or prescribed dimensions.For a function of three variables, each constraint forms a surface in three-dimensional space.
Design Example: Analyzing Capacity Contours for Flood Risk Assessment01:17

Design Example: Analyzing Capacity Contours for Flood Risk Assessment

Flood risk assessment involves careful planning and analysis to ensure the safety of communities near water retention structures. Capacity contours are a vital tool in this process, as they illustrate the potential spread of water at specific levels in a given area. In the context of building a bund across a small valley, these contours play a critical role in evaluating the safety of nearby residential areas.In this example, the bund is intended to store stormwater in the valley. The engineers...
Lagrange Multipliers: Problem Solving01:30

Lagrange Multipliers: Problem Solving

A silo with a cylindrical base, flat bottom, and hemispherical roof is a common design in agricultural and industrial storage due to its structural efficiency and ease of construction. Optimizing its dimensions to maximize storage capacity for a given amount of material—i.e., a fixed surface area—is a classic problem in applied calculus and engineering design. The key parameters are the radius r of the base and the height h of the cylindrical section.The total volume of the silo is obtained by...
Radiation Pressure: Problem Solving01:09

Radiation Pressure: Problem Solving

The radiation pressure applied by an electromagnetic wave on a perfectly absorbing surface equals the energy density of the wave. The wave's momentum also gets transferred to the surface when an electromagnetic wave is entirely absorbed by it. The rate at which momentum is transmitted to an absorbing surface perpendicular to the propagation direction equals the force on the surface.
The average value of the rate of momentum transfer divided by the absorbing area represents the average force per...
Lagrange Multipliers: One Constraint01:29

Lagrange Multipliers: One Constraint

In constrained optimization, the objective is to maximize or minimize a quantity while satisfying a fixed condition. A standard example is a rectangular pen built against a barn wall using 100 meters of fencing. Because the wall provides one side of the enclosure, only the other three sides require fencing. The problem is to find the dimensions that produce the greatest possible area.Let L represent the length parallel to the wall and W the width perpendicular to it. The area of the pen is A =...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Beyond Anterior Circulation: Clinical Outcomes of Edaravone Dexborneol in Posterior Circulation Stroke.

Journal of stroke and cerebrovascular diseases : the official journal of National Stroke Association·2026
Same author

An interpretable TimeMIL framework for fNIRS: differential diagnosis between schizophrenia and bipolar disorder.

Frontiers in psychiatry·2026
Same author

Modified Pemberton osteotomy for developmental dysplasia of the hip in children: a mid- to long-term follow-up study.

Frontiers in pediatrics·2026
Same author

Proximal ulnar osteochondroma as a potential risk factor for radial head dislocation: A retrospective analysis.

Journal of children's orthopaedics·2026
Same author

Factors associated with failure of hydrostatic reduction in children with ileocolic intussusception.

BMC pediatrics·2026
Same author

GDF15 predisposes aortic dissection through regulation of vascular smooth muscle cell proliferation and phenotypic change via the ERK/Akt pathway.

American journal of translational research·2026

Related Experiment Video

Updated: Jun 8, 2026

Spatial Multiobjective Optimization of Agricultural Conservation Practices using a SWAT Model and an Evolutionary Algorithm
11:53

Spatial Multiobjective Optimization of Agricultural Conservation Practices using a SWAT Model and an Evolutionary Algorithm

Published on: December 9, 2012

Radial-interval linear programming for environmental management under varied protection levels.

Qian Tan1, Guo H Huang, Yanpeng Cai

  • 1Environmental Systems Engineering Program, Faculty of Engineering and Applied Science, University of Regina, Regina, Saskatchewan, Canada.

Journal of the Air & Waste Management Association (1995)
|September 25, 2010
PubMed
Summary

This study introduces radial-interval linear programming (RILP) for robust waste management under uncertainty. RILP enhances decision-making by quantifying risks and benefits, improving upon existing methods for environmental management.

More Related Videos

Watershed Planning within a Quantitative Scenario Analysis Framework
12:44

Watershed Planning within a Quantitative Scenario Analysis Framework

Published on: July 24, 2016

Related Experiment Videos

Last Updated: Jun 8, 2026

Spatial Multiobjective Optimization of Agricultural Conservation Practices using a SWAT Model and an Evolutionary Algorithm
11:53

Spatial Multiobjective Optimization of Agricultural Conservation Practices using a SWAT Model and an Evolutionary Algorithm

Published on: December 9, 2012

Watershed Planning within a Quantitative Scenario Analysis Framework
12:44

Watershed Planning within a Quantitative Scenario Analysis Framework

Published on: July 24, 2016

Area of Science:

  • Environmental Science
  • Operations Research
  • Mathematical Optimization

Background:

  • Waste management decisions are often complicated by significant uncertainty in input parameters.
  • Existing interval-parameter linear programming methods have limitations in handling input reasonableness and output robustness.

Purpose of the Study:

  • To develop a novel approach, radial-interval linear programming (RILP), to support waste management under uncertainty.
  • To improve the modeling of uncertain information and the robustness of solutions in waste management optimization.

Main Methods:

  • Introduced the concept of fluctuation radius to model highly uncertain interval parameters.
  • Developed RILP to control the conservatism of interval solutions and quantify system risks and benefits.
  • Provided a computationally tractable algorithm for solving RILP problems.

Main Results:

  • Demonstrated RILP's applicability using a long-term waste management case study.
  • Obtained interval solutions under varied protection levels, revealing trade-offs between protection, risk, and cost.
  • Sensitivity analysis highlighted the impact of fluctuation radii on system outcomes.

Conclusions:

  • RILP effectively supports waste management by reflecting the interactive relationship between system feasibility and parameter uncertainty.
  • The methodology offers valuable insights for generating and screening waste allocation alternatives based on decision-maker preferences.
  • RILP is broadly applicable to environmental management problems with compound uncertainties.